TSTP Solution File: SET065-6 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET065-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:18:16 EDT 2023
% Result : Unsatisfiable 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 20 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 12 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.NgITOJq8ap/E---3.1_11979.p',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X1,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.NgITOJq8ap/E---3.1_11979.p',class_elements_are_sets) ).
cnf(inductive1,axiom,
( member(null_class,X1)
| ~ inductive(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.NgITOJq8ap/E---3.1_11979.p',inductive1) ).
cnf(omega_is_inductive1,axiom,
inductive(omega),
file('/export/starexec/sandbox2/tmp/tmp.NgITOJq8ap/E---3.1_11979.p',omega_is_inductive1) ).
cnf(prove_null_class_is_a_set_1,negated_conjecture,
~ member(null_class,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.NgITOJq8ap/E---3.1_11979.p',prove_null_class_is_a_set_1) ).
cnf(c_0_5,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
subclass_members ).
cnf(c_0_6,axiom,
subclass(X1,universal_class),
class_elements_are_sets ).
cnf(c_0_7,axiom,
( member(null_class,X1)
| ~ inductive(X1) ),
inductive1 ).
cnf(c_0_8,axiom,
inductive(omega),
omega_is_inductive1 ).
cnf(c_0_9,plain,
( member(X1,universal_class)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,plain,
member(null_class,omega),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
~ member(null_class,universal_class),
prove_null_class_is_a_set_1 ).
cnf(c_0_12,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : SET065-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n008.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 17:30:13 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.NgITOJq8ap/E---3.1_11979.p
% 0.16/0.44 # Version: 3.1pre001
% 0.16/0.44 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44 # Starting sh5l with 300s (1) cores
% 0.16/0.44 # sh5l with pid 12061 completed with status 0
% 0.16/0.44 # Result found by sh5l
% 0.16/0.44 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44 # Starting sh5l with 300s (1) cores
% 0.16/0.44 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.44 # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.16/0.44 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.16/0.44 # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 12064 completed with status 0
% 0.16/0.44 # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 0.16/0.44 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44 # Starting sh5l with 300s (1) cores
% 0.16/0.44 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.44 # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.16/0.44 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.16/0.44 # Preprocessing time : 0.002 s
% 0.16/0.44 # Presaturation interreduction done
% 0.16/0.44
% 0.16/0.44 # Proof found!
% 0.16/0.44 # SZS status Unsatisfiable
% 0.16/0.44 # SZS output start CNFRefutation
% See solution above
% 0.16/0.44 # Parsed axioms : 92
% 0.16/0.44 # Removed by relevancy pruning/SinE : 9
% 0.16/0.44 # Initial clauses : 83
% 0.16/0.44 # Removed in clause preprocessing : 0
% 0.16/0.44 # Initial clauses in saturation : 83
% 0.16/0.44 # Processed clauses : 176
% 0.16/0.44 # ...of these trivial : 1
% 0.16/0.44 # ...subsumed : 0
% 0.16/0.44 # ...remaining for further processing : 175
% 0.16/0.44 # Other redundant clauses eliminated : 2
% 0.16/0.44 # Clauses deleted for lack of memory : 0
% 0.16/0.44 # Backward-subsumed : 0
% 0.16/0.44 # Backward-rewritten : 3
% 0.16/0.44 # Generated clauses : 140
% 0.16/0.44 # ...of the previous two non-redundant : 134
% 0.16/0.44 # ...aggressively subsumed : 0
% 0.16/0.44 # Contextual simplify-reflections : 0
% 0.16/0.44 # Paramodulations : 136
% 0.16/0.44 # Factorizations : 0
% 0.16/0.44 # NegExts : 0
% 0.16/0.44 # Equation resolutions : 4
% 0.16/0.44 # Total rewrite steps : 41
% 0.16/0.44 # Propositional unsat checks : 0
% 0.16/0.44 # Propositional check models : 0
% 0.16/0.44 # Propositional check unsatisfiable : 0
% 0.16/0.44 # Propositional clauses : 0
% 0.16/0.44 # Propositional clauses after purity: 0
% 0.16/0.44 # Propositional unsat core size : 0
% 0.16/0.44 # Propositional preprocessing time : 0.000
% 0.16/0.44 # Propositional encoding time : 0.000
% 0.16/0.44 # Propositional solver time : 0.000
% 0.16/0.44 # Success case prop preproc time : 0.000
% 0.16/0.44 # Success case prop encoding time : 0.000
% 0.16/0.44 # Success case prop solver time : 0.000
% 0.16/0.44 # Current number of processed clauses : 88
% 0.16/0.44 # Positive orientable unit clauses : 26
% 0.16/0.44 # Positive unorientable unit clauses: 1
% 0.16/0.44 # Negative unit clauses : 1
% 0.16/0.44 # Non-unit-clauses : 60
% 0.16/0.44 # Current number of unprocessed clauses: 122
% 0.16/0.44 # ...number of literals in the above : 278
% 0.16/0.44 # Current number of archived formulas : 0
% 0.16/0.44 # Current number of archived clauses : 85
% 0.16/0.44 # Clause-clause subsumption calls (NU) : 1685
% 0.16/0.44 # Rec. Clause-clause subsumption calls : 1456
% 0.16/0.44 # Non-unit clause-clause subsumptions : 0
% 0.16/0.44 # Unit Clause-clause subsumption calls : 73
% 0.16/0.44 # Rewrite failures with RHS unbound : 0
% 0.16/0.44 # BW rewrite match attempts : 30
% 0.16/0.44 # BW rewrite match successes : 8
% 0.16/0.44 # Condensation attempts : 0
% 0.16/0.44 # Condensation successes : 0
% 0.16/0.44 # Termbank termtop insertions : 4904
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.011 s
% 0.16/0.44 # System time : 0.002 s
% 0.16/0.44 # Total time : 0.013 s
% 0.16/0.44 # Maximum resident set size: 1812 pages
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.015 s
% 0.16/0.44 # System time : 0.002 s
% 0.16/0.44 # Total time : 0.017 s
% 0.16/0.44 # Maximum resident set size: 1752 pages
% 0.16/0.44 % E---3.1 exiting
% 0.16/0.44 % E---3.1 exiting
%------------------------------------------------------------------------------